Math 220 Handout 6: Brief Introduction to the One-Sample T Test Using Raw Data in SPSS
This is an abbreviated version of an upcoming handout that will contain more details. The logic behind
this brief introduction is to begin with just the essential infor
Bicycle ID
Category
117 Road Bike Large
127 Road Bike Ex-Large
128 Mountain Bike Medium
270 Hybrid Bike Large
273 Hybrid Bike Medium
274 Mountain Bike Medium
307 Hybrid Bike Large
317 Road Bike Ex-Large
357 Hybrid Bike Medium
709 Road Bike Large
Size
Name
CHAPTER 4
DEVELOPING THROUGH
THE LIFESPAN
Babies danci
ng
nature
and
nurture
How do genes and
experience guide
development
over our
In what
change
lifespan?
ways do
and
we
stabilit change as
we age,
Issues in
y
and in
Developmenta
what
l Psychology
ways d
COB 204 (Cheverton)
In-Class Activity on Telecommuting, Network and the Cloud
Part 1
1) A computer _ is a collection of computers that communicate with one another over
transmission lines or wirelessly.
A) database
B) application
C) network
D) server
2) A
CHAPTER 2
BIOLOGY OF BEHAVIOR
Wait for it.
Brief intro into how cool
neuropsych can be
Exploring the Mind of a Killer
THE NEURON
Types of Neurons:
Sensory Neurons: TO
brain
Motor Neurons: AWAY
from brain
Interneurons: middle
child intervenes
between senso
Name:
Team Name:
Guppy Experiment Summary
Objectives:
The purpose of this exercise is to help you work through the presentation of
experiments and to integrate them into our learning about a particular topic. In
particular, we want to relate the ideas of
Department of Mathematics and Statistics
Math 220 (Section 21 and Section 22): Spring 2014
Instructor: Dr. Hasan Hamdan
Course Website: Course is on Canvas
Email: hamdanhx@jmu.edu
Phone: 540.568.2844
Sections: 21 & 22
Class Location: Tuesday Roop 127 and
standard error
Recall x = n .
s
standard error of x = n .
exercise 16.1.
x
Recall z = /n Normal (0, 1).
Now t =
x
s/ n
has a t distribution with n 1 degrees of freedom.
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April 1, 2013
1/9
Condence interval
level C condence inte
Probabilities
chance behavior is unpredictable in the short run but has a regular and
predictable pattern in the long run.
We call a phenomenon random if individual outcomes are uncertain
but there is nonetheless a regular distribution of outcomes in a la
Sampling distributions
A parameter is a number that describes the population.
A statistic is a number that can be computed from the sample data. In
practice, we often use a statistic to estimate an unknown parameter.
e.g., sample mean x is a statistic, a
General rules about probability
For any event A, 0 P (A) 1.
If S is the sample space, P (S ) = 1.
If A an B are disjoint, P (AorB ) = P (A) + P (B ).
P (notA) = 1 P (A).
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May 22, 2012
1 / 10
multiplication rule
If A and B are ind
Conditions for inference
Where did data come from?
If data do not come from a random sample or a randomized
comparative experiment, the conclusions my be suspect.
What is the shape of the population distribution?
outliers can distort the results of infere
Introduction to Inference
Statistical inference draws conclusions about a population from
sample data.
Conditions about estimating a population mean :
We have an SRS from the population.
The variable has a Normal distribution N (, ).
We do not know . But
Experiments
An observational study observes individuals and measures variables
of interest but does not attempt to inuence the responses.
An experiment deliberately imposes some treatment on individuals in
order to observe their responses. The purpose of
Sampling
The population is the entire group of individuals about which we want
information.
A sample is a part of the population from which we actually collect
information.
A sampling design describes how to choose a sample from the
population.
exercise:
Math 220 Handout 4: Sampling Distribution of the Sample Mean and the Central Limit Theorem
When a sample is randomly selected from a quantitative population the sample mean, is often used as an
estimate of the true population mean . It must be understood
mom Eixmg 7 Few Tali Handw
_mf_,_~_
. One-researchprcject studied the left ventricular diastolic volume in hearts of runners and
nonrunners: Do the data below show a signicant difference In volume between the two
F) groups (at the 595 level ofsignicance)?
INFERENCE' Hypo: TEST CONFIDENCE I
PROCEDUREI STATISTIC INTERVAL I
One Mean
Or
Matched pair
Two Means
.|
1 Tesla:
df = smallesr of n, l and
nZl
or ugly formula
df = smallest of n, -l and
nz-l
or' ugly formula
Independence
Handout 6 Extra Lin Reg Problems
1.) The relationship between the depth of flooding and the amount of flood damage was
examined in the paper Significance of Location in Computing Flood Damage (Journal of
Water Resources Planning and Management <1985>: 65-
(handout 17) Extra Hypo Test Problems
1. Perry et a1. wanted to test the folklore that women who have not been given info about the sex of their unborn child
can guess it better than just chance levels. They asked a sample of 104 pregnant women to guess t
(handout 9) Normal review ( and sampling distr )
1. Newsweek reported that 40% of all U.S. employees have self-insurance health plans.
In a random sample of 100 employees, what is the probability that at least half of those in the sample have such a plan?